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Finding the Fourth Proportional to 66.53, 99.61 and 49.34

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Solution

The fourth proportional to 66.53, 99.61 and 49.34 is: 73.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.53 : 99.61 = 49.34 : x
  2. Step 2: Convert to fraction form
    66.53/99.61 = 49.34/x
  3. Step 3: Cross multiply
    66.53x = 99.61 × 49.34
  4. Step 4: Simplify right side
    66.53x = 4,914.76
  5. Step 5: Solve for x
    x = 4,914.76/66.53
  6. Step 6: Final answer
    x = 73.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.